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Basic Concepts in Probability
| Content Provider | Scilit |
|---|---|
| Author | Li, X. Rong |
| Copyright Year | 2017 |
| Description | This chapter covers fundamental topics on probabilities of events. It includes the basics of set theory, fundamental concepts in probability, and conditional probability. The chapter discusses independent events and explains the total probability theorem and Bayes' rule. While the concept of a set has nothing to do with the relationship among its elements, a countable set is often called a discrete set in engineering practice and the term "continuous set" is sometimes used nonrigorously to mean a continuous region of a space, such as an interval of the real line or a continuous region of the x-y plane. The axiomatic system of probability was developed by the Russian mathematician A. N. Kolmogorov in 1933 based on set theory and measure theory. The axiomatic method is one of the most important approaches of science, especially modem mathematics. It is the most rigorous approach, omnipresent in the entire domain of mathematics. Book Name: Probability, Random Signals, and Statistics |
| Related Links | https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9780203741993-2&type=chapterpdf |
| DOI | 10.1201/9780203741993-2 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2017-12-14 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Probability, Random Signals, and Statistics History Set Theory Mathematics Axiomatic Concepts Events Probability |
| Content Type | Text |
| Resource Type | Chapter |
